Control design for stochastic continuous T-S model based systems

This paper focuses on controller design for a class of stochastic continuous T-S nonlinear systems. Motivated by variable gradient method, an integral Lyapunov function is introduced to establish the stability conditions of the stochastic continuous T-S nonlinear systems. By introducing additional matrix variables and applying a cone complementarity-like technique, the established stability conditions can be employed for controller design. It has proven that this control design problem can be solved as a quadratic programming problem.